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29 votes
29 votes
Convert 111011110 square into decimal numbers.​

User Swhitman
by
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2 Answers

10 votes
10 votes

answer: 1110111102 in decimal

=47810

Explanation:

To convert binary number 111011110 to decimal, follow these two steps:

Start from one's place in 111011110 : multiply ones place with 2^0, tens place with 2^1, hundreds place with 2^2 and so on from right to left

Add all the product we got from step 1 to get the decimal equivalent of 111011110.

Using the above steps, here is the work involved in the solution for converting 111011110 to decimal number (Don't forget that we start from ones place to so on...)

Decimal equivalent of "0" = 0 × 2^0 = 0

Decimal equivalent of "1" = 1 × 2^1 = 2

Decimal equivalent of "1" = 1 × 2^2 = 4

Decimal equivalent of "1" = 1 × 2^3 = 8

Decimal equivalent of "1" = 1 × 2^4 = 16

Decimal equivalent of "0" = 0 × 2^5 = 0

Decimal equivalent of "1" = 1 × 2^6 = 64

Decimal equivalent of "1" = 1 × 2^7 = 128

Decimal equivalent of "1" = 1 × 2^8 = 256

Decimal equivalent of "111011110" = 256128640168420

111011110 = 478

Here is the final answer, The binary number 111011110 converted to decimal is therefore equal to:

478

Here are some more examples of binary to decimal conversion

User Kaddy
by
3.5k points
21 votes
21 votes

9514 1404 393

Answer:

478

Explanation:

The 2 in 111011110₂ indicates the base of the number is 2. It is not a "square." For conversion from binary, I find it convenient to group the bits 3 at a time and use that grouping to write the base-8 number. That reduces the arithmetic required.

111 011 110₂ = 736₈ = (7·8 +3)·8 +6 = 59·8 +6 = 478

The decimal equivalent is 478.

User Atevm
by
2.1k points