# Multiplication of 1112 by 1012 is

This question was previously asked in
NIMCET 2014 Official Paper
View all NIMCET Papers >
1. 1100112
2. 1000112
3. 1111002
4. 0001012

Option 2 : 1000112
Free
ST 1: General Awareness
6847
15 Questions 15 Marks 15 Mins

## Detailed Solution

This problem can be solved in two ways

Method 1:

By following simple multiplication rule as shown Method 2:

By converting binary to decimal, performing multiplication, and then again converting decimal to binary.

Here, (111)2 = 22 + 21 + 20 = (7)10

(101)2 = 22 + 20 = (5)10

⇒ 5 × 7 = (35)10 = 25 + 21 + 20 = (100011)2
{"ft_lang_label":"__label__en","ft_lang_prob":0.83219624,"math_prob":0.93795514,"size":317,"snap":"2021-31-2021-39","text_gpt3_token_len":107,"char_repetition_ratio":0.11821086,"word_repetition_ratio":0.033333335,"special_character_ratio":0.4384858,"punctuation_ratio":0.09677419,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9737435,"pos_list":[0,1,2],"im_url_duplicate_count":[null,4,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-09-26T21:27:00Z\",\"WARC-Record-ID\":\"<urn:uuid:369a2140-16e2-45b5-b1fd-fe0c2ac3001e>\",\"Content-Length\":\"115032\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:7c6e8c7f-f11e-42c9-a305-7efb9faa43e0>\",\"WARC-Concurrent-To\":\"<urn:uuid:ade4e171-4884-4e60-b7d1-fa533e429392>\",\"WARC-IP-Address\":\"104.22.44.238\",\"WARC-Target-URI\":\"https://testbook.com/question-answer/multiplication-of-1112-by-1012-is--5fcb2dbf6edea7cde3b44bfa\",\"WARC-Payload-Digest\":\"sha1:EEF35RXXCIZCPHUR6ZJE645CSXP4EMUB\",\"WARC-Block-Digest\":\"sha1:63JIEYDP2KXO7MJ7WKVNMJKDBFY374OP\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-39/CC-MAIN-2021-39_segments_1631780057973.90_warc_CC-MAIN-20210926205414-20210926235414-00553.warc.gz\"}"}