Answer:
Mark me as brainlist
Explanation:
Step 1: Write down the binary number:
101110011000001
Step 2: Multiply each digit of the binary number by the corresponding power of two:
1x214 + 0x213 + 1x212 + 1x211 + 1x210 + 0x29 + 0x28 + 1x27 + 1x26 + 0x25 + 0x24 + 0x23 + 0x22 + 0x21 + 1x20
Step 3: Solve the powers:
1x16384 + 0x8192 + 1x4096 + 1x2048 + 1x1024 + 0x512 + 0x256 + 1x128 + 1x64 + 0x32 + 0x16 + 0x8 + 0x4 + 0x2 + 1x1 = 16384 + 0 + 4096 + 2048 + 1024 + 0 + 0 + 128 + 64 + 0 + 0 + 0 + 0 + 0 + 1
Step 4: Add up the numbers written above:
16384 + 0 + 4096 + 2048 + 1024 + 0 + 0 + 128 + 64 + 0 + 0 + 0 + 0 + 0 + 1 = 23745. This is the decimal equivalent of the binary number 101110011000001
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Answers & Comments
Answer:
Mark me as brainlist
Explanation:
Step 1: Write down the binary number:
101110011000001
Step 2: Multiply each digit of the binary number by the corresponding power of two:
1x214 + 0x213 + 1x212 + 1x211 + 1x210 + 0x29 + 0x28 + 1x27 + 1x26 + 0x25 + 0x24 + 0x23 + 0x22 + 0x21 + 1x20
Step 3: Solve the powers:
1x16384 + 0x8192 + 1x4096 + 1x2048 + 1x1024 + 0x512 + 0x256 + 1x128 + 1x64 + 0x32 + 0x16 + 0x8 + 0x4 + 0x2 + 1x1 = 16384 + 0 + 4096 + 2048 + 1024 + 0 + 0 + 128 + 64 + 0 + 0 + 0 + 0 + 0 + 1
Step 4: Add up the numbers written above:
16384 + 0 + 4096 + 2048 + 1024 + 0 + 0 + 128 + 64 + 0 + 0 + 0 + 0 + 0 + 1 = 23745. This is the decimal equivalent of the binary number 101110011000001