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---
id: 599d1566a02b571412643b84
title: 埃塞俄比亚的乘法
title: Ethiopian multiplication
challengeType: 5
videoUrl: ''
forumTopicId: 302257
dashedName: ethiopian-multiplication
---
# --description--
<p>埃塞俄比亚乘法是一种仅使用加法,加倍和减半来乘以整数的方法。 </p><p>方法: </p>取两个数字相乘然后将它们写在两列的顶部。在左侧列中反复将最后一个数字减半丢弃任何余数并将结果写入同一列中的最后一个直到您写入值1.在右侧列中重复加倍最后一个数字并写入结果如下。在左侧列显示的同一行中添加结果时停止1.检查生成的表并丢弃左列中的值为偶数的任何行。将右侧列中的值相加,以产生将原始两个数相乘的结果<p>例如17×34 </p><p> 17 34 </p><p>将第一列减半: </p><p> 17 34 </p><p> 8 </p><p> 4 </p><p> 2 </p><p> 1 </p><p>加倍第二列: </p><p> 17 34 </p><p> 8 68 </p><p> 4 136 </p><p> 2 272 </p><p> 1 544 </p><p>第一个单元格为偶数的删除行: </p><p> 17 34 </p><p> 8 <strike>68</strike> </p><p> 4 <strike>136</strike> </p><p> 2 <strike>272</strike> </p><p> 1 544 </p><p>将右侧列中的剩余数字相加: </p><p> 17 34 </p><p> 8 - </p><p> 4 --- </p><p> 2 --- </p><p> 1 544 </p><p> ==== </p><p> 578 </p><p>所以17乘以34埃塞俄比亚方法是578。 </p>任务: <p>任务是定义三个命名函数/方法/过程/子例程: </p>一个将一个整数减半,一个减半整数,一个整数是偶数。 <p>使用这些函数创建一个执行埃塞俄比亚乘法的函数。 </p>
Ethiopian multiplication is a method of multiplying integers using only addition, doubling, and halving.
**Method:**
<ol>
<li>Take two numbers to be multiplied and write them down at the top of two columns</li>
<li>In the left-hand column repeatedly halve the last number, discarding any remainders, and write the result below the last in the same column, until you write a value of <code>1</code></li>
<li>In the right-hand column repeatedly double the last number and write the result below. stop when you add a result in the same row as where the left hand column shows <code>1</code></li>
<li>Examine the table produced and discard any row where the value in the left column is even</li>
<li>Sum the values in the right-hand column that remain to produce the result of multiplying the original two numbers together</li>
</ol>
**For example:** `17 × 34`
<pre>17 34
</pre>
Halving the first column:
<pre>17 34
8
4
2
1
</pre>
Doubling the second column:
<pre>17 34
8 68
4 136
2 272
1 544
</pre>
Strike-out rows whose first cell is even:
<pre>17 34
8 <strike>68</strike>
4 <strike>136</strike>
2 <strike>272</strike>
1 544
</pre>
Sum the remaining numbers in the right-hand column:
<!-- markdownlint-disable MD003 -->
<pre>17 34
8 --
4 ---
2 ---
1 544
====
578
</pre>
<!-- markdownlint-enable MD003 -->
So `17` multiplied by `34`, by the Ethiopian method is `578`.
# --instructions--
The task is to define three named functions/methods/procedures/subroutines:
<ol>
<li>one to halve an integer,</li>
<li>one to double an integer, and</li>
<li>one to state if an integer is even</li>
</ol>
Use these functions to create a function that does Ethiopian multiplication.
<!-- markdownlint-disable MD046-->
# --hints--
`eth_mult`是一个功能。
`eth_mult` should be a function.
```js
assert(typeof eth_mult === 'function');
```
`eth_mult(17,34)`应该返回`578`
`eth_mult(17,34)` should return `578`.
```js
assert.equal(eth_mult(17, 34), 578);
```
`eth_mult(23,46)`应该返回`1058`
`eth_mult(23,46)` should return `1058`.
```js
assert.equal(eth_mult(23, 46), 1058);
```
`eth_mult(12,27)`应该返回`324`
`eth_mult(12,27)` should return `324`.
```js
assert.equal(eth_mult(12, 27), 324);
```
`eth_mult(56,98)`应该返回`5488`
`eth_mult(56,98)` should return `5488`.
```js
assert.equal(eth_mult(56, 98), 5488);
```
`eth_mult(63,74)`应该返回`4662`
`eth_mult(63,74)` should return `4662`.
```js
assert.equal(eth_mult(63, 74), 4662);