1.8 Multiples of Bit

• ⭐️ one exercise of chaning from one unit to another

✅ Multiples of Bit

bit, Byte, Kilo, Mega, Giga, Tera, Petta, Exa, Zelta, Yotta

• 1b = 1bit = 0(0.5v) or 1(5v)
• 1B = 1byte = 8 bits
• 1KB(kilo) = 1024 bytes
• 1MB(Mega) = 1024 bytes * 1024 bytes = 1024KB
• 1GB(Giga) = 1024 bytes * 1024 bytes * 1024 bytes = 1024MB
• 1TB(Tera) = 1024GB
• 1PB(Petta) = 1024TB ➡️ does not exist yet ❌
• 1EB(Exa) = 1024PB ➡️ does not exist yet ❌
• 1ZB(Zelta) = 1024EB ➡️ does not exist yet ❌
• 1YB(Yotta) = 1024ZB ➡️ does not exist yet ❌

📚 Rule of Multiples of bit

• normally, bit is written on the right, YB on the left
• If you pass from big ➡️ smaller (from left ➡️ right)
• each step has a value of multiplying by 1024(2^10)
• except the last step, which is byte ➡️ bit

• which is multiplied by 8 = 2^3

• If you pass from small ➡️ bigger (from right ➡️ left)
• each step has a value of divide by 1024(2^10)
• which is the same as multiplying by 2^(-10)
• except the first step, which is bit ➡️ byte
• which is divided by 8 = 2^3
• which is the same as divided by 2^(-3)

❓ Exercises

Q: Transform/Convert 512TB into KB
A:
512TB
= 2^9TB
= (2^9) * (2^10) * (2^10) * (2^10) KB
= 2^39KB
👉🏻 2^39KB

Q: Transform/Convert 64YB into EB
A:
64YB
= 2^6YB
= (2^6) * (2^10) * (2^10) EB
= 2^26EB
👉🏻 2^26EB

Q: Transform/Convert 16TB into KB
A:
16TB
= 2^4TB
= (2^4) * (2^10) * (2^10) * (2^10)
= 2^34
👉🏻 2^34KB

Q: Transform/Convert 32MB into b
A:
32MB
= 2^5MB
= (2^5) * (2^10) * (2^10) * (2^3)
= 2^28
👉🏻 2^28b

Q: Transform/Convert 4MB into TB
A:
4MB
= 2^2MB
= (2^2) / (2^10) / (2^10)
= (2^2) * (2^(-10)) * (2^(-10))
= 2^(-18)
👉🏻 2^(-18)TB

Q: Transform/Convert 128TB into YB
A:
128TB
= 2^7TB
= (2^7) * (2^(-10)) * (2^(-10)) * (2^(-10)) * (2^(-10))
= 2^(-33)
👉🏻 2^(-33)YB

Q: Transform/Convert 2b into KB
A:
2b
= 2^1b
= (2^1) * (2^(-3)) * (2^(-10))
= 2^(-12)
👉🏻 2^(-12)KB

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