Answer:
1.(11110111)2 = (247)10
Step by step solution
Step 1: Write down the binary number:
11110111
Step 2: Multiply each digit of the binary number by the corresponding power of two:
1x27 + 1x26 + 1x25 + 1x24 + 0x23 + 1x22 + 1x21 + 1x20
Step 3: Solve the powers:
1x128 + 1x64 + 1x32 + 1x16 + 0x8 + 1x4 + 1x2 + 1x1 = 128 + 64 + 32 + 16 + 0 + 4 + 2 + 1
Step 4: Add up the numbers written above:
128 + 64 + 32 + 16 + 0 + 4 + 2 + 1 = 247.
So, 247 is the decimal equivalent of the binary number 11110111.
To convert binary number 101011101 to decimal, follow these two steps:
Start from one's place in 101011101 : 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 101011101.
Using the above steps, here is the work involved in the solution for converting 101011101 to decimal number (Don't forget that we start from ones place to so on...)
Decimal equivalent of "1" = 1 × 2^0 = 1
Decimal equivalent of "0" = 0 × 2^1 = 0
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 "0" = 0 × 2^7 = 0
Decimal equivalent of "1" = 1 × 2^8 = 256
Decimal equivalent of "101011101" = 2560640168401
101011101 = 349
Here is the final answer, The binary number 101011101 converted to decimal is therefore equal to:
349
Step-by-step explanation:
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